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# Chapter 9: Linear Equation in One Variable Exercise – 9.1

### Question: 1

Solve of the following equations and also verify your solutions: ### Solution: ### Question: 2

Solve of the following equations and also verify your solutions: ### Solution: ### Question: 3

Solve of the following equations and also verify your solutions: ### Solution: ### Question: 4

Solve of the following equations and also verify your solutions: ### Solution: ### Question: 5

Solve of the following equations and also verify your solutions: ### Solution: ### Question: 6

Solve of the following equations and also verify your solutions:

(x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0

### Solution:

(x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0

=> x2+ 5x + 6 + x2 – 5x + 6 – 2x2 – 2x = 0

=> 12 – 2x = 0

=> 2x = 12

=> x = 6

Verification

L.H.S = (6 + 2) (6 + 3) + (6 – 3) (6 – 2) – 2(6)(6 + 1)

= 72 + 12 – 84

= 0

R.H.S = 0

Hence, L.H.S = R.H.S

### Question: 7

Solve of the following equations and also verify your solutions: ### Solution: ### Question: 8

Solve of the following equations and also verify your solutions: ### Solution: ### Question: 9

Solve of the following equations and also verify your solutions: ### Solution: ### Question: 10

Solve of the following equations and also verify your solutions:

13(y – 4) – 3(y – 9) – 5(y + 4) = 0

### Solution:

13(y – 4) – 3(y – 9) – 5(y + 4) = 0

=> 13y – 52 – 3y + 27 – 5y – 20 = 0

=> 5y = 45

=> y = 455

= 9

Verification

L.H.S = 13(9 – 4) – 3(9 – 9) – 5(9 + 4)

= 13(5) – 3(0) – 5(13)

= 0

R.H.S = 0

Hence, L.H.S = R.H.S

### Question: 11

Solve of the following equations and also verify your solutions: ### Solution: 